Cod sursa(job #2975587)

Utilizator gabrielinelusGabriel-Robert Inelus gabrielinelus Data 6 februarie 2023 20:35:27
Problema Subsir crescator maximal Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.67 kb
#include <cstdio>
#include <memory>
#include <algorithm>
#include <vector>

using namespace std;

class Solver{
private:
  int N;
  vector<int> v;
  vector<int> DP; // DP[i] = smallest end value of a stricly increasing subsequence of length i
  vector<int> indexDP; // indexDP[i] = the index in v for DP[i]
  vector<int> parent; // parent[i] = the index in v for v[i]'s predecesor

public:
  Solver() {
    freopen("scmax.in", "r", stdin);
    freopen("scmax.out", "w", stdout);
  }
  ~Solver() {
    fclose(stdin);
    fclose(stdout);
  }
  
  void readData() {
    scanf("%d", &N);
    v.resize(N);
    for (int i = 0; i < N; ++i)
      scanf("%d", &v[i]);
  }

  void solveLongestIncreasing() {
    parent.resize(N);

    DP.emplace_back(v[0]);
    indexDP.emplace_back(0);
    parent[0] = -1;
    
    for (int i = 1; i < N; ++i) {
      vector<int>::iterator lowestIt = lower_bound(DP.begin(), DP.end(), v[i]);
      if (lowestIt == DP.end()) {
	parent[i] = indexDP.back();
	DP.emplace_back(v[i]);
	indexDP.emplace_back(i);
	continue;
      }

      int lowestIndex = distance(DP.begin(), lowestIt);
      if (lowestIndex)
	parent[i] = indexDP[lowestIndex - 1];
      else
	parent[i] = -1;
      
      DP[lowestIndex] = v[i];
      indexDP[lowestIndex] = i;
    }

    vector<int> ans(DP.size());
    int bestIndex = indexDP[(int) DP.size() - 1];
    for (int i = (int) DP.size() - 1; i >= 0; --i) {
      ans[i] = v[bestIndex];
      bestIndex = parent[bestIndex];
    }
    printf("%d\n", (int)ans.size());
    for (auto it: ans)
      printf("%d ", it);
    printf("\n");
  }
};

int main() {
  unique_ptr<Solver> s = make_unique<Solver>();
  s->readData();
  s->solveLongestIncreasing();
  return 0;
}